A Fast and Robust Algorithm to Count Topologically Persistent Holes in Noisy Clouds

  title={A Fast and Robust Algorithm to Count Topologically Persistent Holes in Noisy Clouds},
  author={V. Kurlin},
  journal={2014 IEEE Conference on Computer Vision and Pattern Recognition},
  • V. Kurlin
  • Published 2014
  • Mathematics, Computer Science
  • 2014 IEEE Conference on Computer Vision and Pattern Recognition
  • Preprocessing a 2D image often produces a noisy cloud of interest points. We study the problem of counting holes in noisy clouds in the plane. The holes in a given cloud are quantified by the topological persistence of their boundary contours when the cloud is analyzed at all possible scales. We design the algorithm to count holes that are most persistent in the filtration of offsets (neighborhoods) around given points. The input is a cloud of n points in the plane without any user-defined… CONTINUE READING
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